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Finding the Fourth Proportional to 623.76, 931.62 and 565.08

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Solution

The fourth proportional to 623.76, 931.62 and 565.08 is: 843.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.76 : 931.62 = 565.08 : x
  2. Step 2: Convert to fraction form
    623.76/931.62 = 565.08/x
  3. Step 3: Cross multiply
    623.76x = 931.62 × 565.08
  4. Step 4: Simplify right side
    623.76x = 526,439.83
  5. Step 5: Solve for x
    x = 526,439.83/623.76
  6. Step 6: Final answer
    x = 843.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.